A numerical study of non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD

TL;DR

This study numerically investigates the non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD, revealing its non-renormalization and potential use in fixing axial current renormalization constants.

Contribution

It introduces a novel numerical method to analyze transport properties of chiral lattice fermions and demonstrates the non-renormalization of the CSE across different phases.

Findings

CSE is non-renormalized in quenched finite-density QCD.

CSE can be used to determine axial current renormalization constants.

CSE vanishes for self-dual non-Abelian fields inside instanton cores.

Abstract

We demonstrate the non-renormalization of the Chiral Separation Effect (CSE) in quenched finite-density QCD in both confinement and deconfinement phases using a recently developed numerical method which allows, for the first time, to address the transport properties of exactly chiral, dense lattice fermions. This finding suggests that CSE can be used to fix renormalization constants for axial current density. Explaining the suppression of the CSE which we observe for topologically nontrivial gauge field configurations on small lattices, we also argue that CSE vanishes for self-dual non-Abelian fields inside instanton cores.